The determination of vector magnetic fields from Stokes profiles

Physics – Optics

Scientific paper

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Solar Magnetic Field, Solar Physics, Circular Polarization, Light Scattering, Magnetic Field Configurations, Magneto-Optics, Spectrum Analysis, Vector Spaces

Scientific paper

The application of Unnos's (1956) solution of the transfer equation for polarized radiation to the determination of the vector magnetic field is investigated. An analysis procedure utilizing non-linear least squares techniques is developed that allows one to automate the reduction of measured spectral profiles of the Stokes parameters to determine the field angles, strength as well as other parameters. The method is applied to synthetic spectra generated using a model solar atmosphere and yields results of remarkably high accuracy. The influence of additional factors upon determination of the vector field are also considered. These factors include effects of: asymmetric profiles, magneto-optical effects, magnetic field gradients, unresolved field elements, scattered light, and instrumental noise.

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